Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem

preprint2020arXivOpen access

Abstract

Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the existence of positive eigenvalues of systems of elliptic functional differential equations. An example is presented to illustrate the theory.

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